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Simplifying 8(3x + -7) + 7(x + -4) = 280 Reorder the terms: 8(-7 + 3x) + 7(x + -4) = 280 (-7 * 8 + 3x * 8) + 7(x + -4) = 280 (-56 + 24x) + 7(x + -4) = 280 Reorder the terms: -56 + 24x + 7(-4 + x) = 280 -56 + 24x + (-4 * 7 + x * 7) = 280 -56 + 24x + (-28 + 7x) = 280 Reorder the terms: -56 + -28 + 24x + 7x = 280 Combine like terms: -56 + -28 = -84 -84 + 24x + 7x = 280 Combine like terms: 24x + 7x = 31x -84 + 31x = 280 Solving -84 + 31x = 280 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 31x = 280 + 84 Combine like terms: -84 + 84 = 0 0 + 31x = 280 + 84 31x = 280 + 84 Combine like terms: 280 + 84 = 364 31x = 364 Divide each side by '31'. x = 11.74193548 Simplifying x = 11.74193548
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